The velocity of water waves depends …
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Yogita Ingle 5 years, 1 month ago
Dimension of Velocity is LT−1
Dimension of wavelength λ is L
Dimension of acceleration due to gravity g is LT−2
Dimension of Density of water ρ is ML−3
Let v∝λagbρc
Using Dimensional method:
a+b−3c=1 ( Length )
c=0 ( Mass )
−2b=−1 ( Time )
b=0.5
Hence, a=0.5
∴v∝ √gλ
v2∝gλ
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